Home / 6,407-9,774

Finding the Third Proportional to 6,407 and 9,774

Calculator

Solution

The third proportional to 6,407 and 9,774 is: 14,910.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407 : 9,774 = 9,774 : x
  2. Step 2: Convert to fraction form
    6,407/9,774 = 9,774/x
  3. Step 3: Cross multiply
    6,407x = 9,774 × 9,774
  4. Step 4: Simplify right side
    6,407x = 95,531,076
  5. Step 5: Solve for x
    x = 95,531,076/6,407
  6. Step 6: Final answer
    x = 14,910.42

Related Problems

Find third proportional to 3,203.50 and 4,887
Half scale
Find third proportional to 12,814 and 19,548
Double scale
Find third proportional to 6,409 and 9,777
Similar ratio
Find third proportional to 9,610.50 and 14,661
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.